Bidirectional associative memories
IEEE Transactions on Systems, Man and Cybernetics
Elements of information theory
Elements of information theory
Neural associative memory for brain modeling and information retrieval
Information Processing Letters - Special issue on applications of spiking neural networks
Memory capacities for synaptic and structural plasticity
Neural Computation
Neural associative memory for brain modeling and information retrieval
Information Processing Letters - Special issue on applications of spiking neural networks
Neural associative memory with optimal bayesian learning
Neural Computation
Hi-index | 0.00 |
The classical binary Willshaw model of associative memory has an asymptotic storage capacity of ln 2 ≅ 0.7 which exceeds the capacities of other (e.g., Hopfield-like) models by far. However, its practical use is severely limited, since the asymptotic capacity is reached only for very large numbers n of neurons and for sparse patterns where the number k of one-entries must match a certain optimal value kopt(n) (typically kopt = log n). In this work I demonstrate that optimal compression of the binary memory matrix by a Huffman or Golomb code can increase the asymptotic storage capacity to 1. Moreover, it turns out that this happens for a very broad range of kbeing either ultra-sparse (e.g., k constant) or moderately-sparse (e.g., k = √n). A storage capacity in the range of ln 2 is already achieved for practical numbers of neurons.